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Finding the Third Proportional to 212,278.50 and 463,923

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Solution

The third proportional to 212,278.50 and 463,923 is: 1,013,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,278.50 : 463,923 = 463,923 : x
  2. Step 2: Convert to fraction form
    212,278.50/463,923 = 463,923/x
  3. Step 3: Cross multiply
    212,278.50x = 463,923 × 463,923
  4. Step 4: Simplify right side
    212,278.50x = 215,224,549,929
  5. Step 5: Solve for x
    x = 215,224,549,929/212,278.50
  6. Step 6: Final answer
    x = 1,013,878.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.